Barrel Vaulted Structure
This document was uploaded by user and they confirmed that they have the permission to share it. If you are author or own the copyright of this book, please report to us by using this DMCA report form. Report DMCA
Overview
Download & View Barrel Vaulted Structure as PDF for free.
More details
- Words: 4,906
- Pages: 20
Problem U Barrel Vaulted Structure
To Do Determine the maximum deflection at the center of upper and lower barrel vaults due to the self weight of the structure. Also determine the maximum deflection at center of upper and lower barrel vaults due to the self weight plus the prescribed live load applied to the top barrel vault.
40 ’
Concrete E =3600 ksi Poissons Ratio = 0.2 12" thick concrete walls and slabs
Live Load = 300 psf downward
10’
5’
10’
Barrel vault with 30' radius and 35° roll down angle
Barrel vault with 20' radius and 35° roll down angle
Note: Our intent is that you try this problem on your own first. After you have solved it on your own, you can step through our solution if desired. If you have problems trying to create the model, then follow the steps in our solution.
1
Problem U Solution
1.
Click the drop down box in the status bar to change the units to kip-ft.
2.
From the File menu select New Model From Template…. This displays the Model Templates dialog box.
3.
In this dialog box click on the Barrel template dialog box.
4.
In this dialog box:
button to display the Barrel
•
Accept the default Number of Circumferential Spaces, 8.
•
Accept the default Number of Span Spaces, 8.
•
Type 40 in the Span edit box.
•
Type 20 in the Radius edit box.
•
Type 35 in the Roll Down Angle edit box.
•
Uncheck the Restraints check box.
•
Click the OK button.
5.
Click in the 3-D View window to make sure it is active. The window is highlighted when it is active.
6.
Click the Select All button
7.
From the Edit menu select Move… to display the Move Selected Points dialog box.
8.
In this dialog box:
located on the side toolbar to select the entire structure.
•
Type 10 in the Delta Z edit box.
•
Click the OK button.
9.
From the Edit menu select Add To Model From Template… to display the Model Templates dialog box.
10.
In this dialog box click on the Barrel template dialog box.
11.
In this dialog box:
button to display the Barrel
2
•
Accept the default Number of Circumferential Spaces, 8.
•
Accept the default Number of Span Spaces, 8.
•
Type 40 in the Span edit box.
•
Type 30 in the Radius edit box.
•
Type 35 in the Roll Down Angle edit box.
•
Uncheck the Restraints check box if it is not already unchecked.
•
Click the Advanced button.
À À
Type 25 in the Z edit box in the Translations area. Click the OK button twice to exit all dialog boxes.
12.
Click in the Y-Z Plane @ X=20 window to make sure it is active.
13.
Click the Set Elements button on the main toolbar (or select Set Elements… from the View menu) to display the Set Elements Dialog box.
14.
In this dialog box: •
Check the Labels box in the Joints area.
•
Click the OK button.
15.
Right click on joint 154 in window with the Y-Z Plane @ X=20. The Joint Information dialog box is displayed.
16.
Highlight the Y-coordinate (-17.2073) and press the Ctrl and the C keys on the keyboard at the same time to copy the value to the clipboard.
17.
Click the Cancel button to close the Joint Information dialog box.
18.
From the Edit menu select Add To Model From Template… to display the Model Templates dialog box.
19.
In this dialog box click on the Shear Wall template Wall dialog box.
20.
In this dialog box •
Type 8 in the Number of Spaces Along X edit box.
•
Type 4 in the Number of Spaces Along Z edit box.
button to display the Shear
3
•
Type 5 Space Width Along X edit box.
•
Type 2.5 Space Width Along Z edit box.
•
Uncheck the Restraints check box if it is not already unchecked.
•
Click the Advanced button.
À À À
Highlight the Y edit box and press the Ctrl and the V keys on the keyboard at the same time to paste the -17.2073 value from the clipboard. Type 15 in the Z edit box in the Translations area. Click the OK button twice to exit all dialog boxes.
21.
Right click on joint 73 in window with the Y-Z Plane @ X=20. The Joint Information dialog box is displayed.
22.
Highlight the Y-coordinate (-11.4715) and press the Ctrl and the C keys on the keyboard at the same time to copy the value to the clipboard.
23.
Click the Cancel button to close the Joint Information dialog box.
24.
From the Edit menu select Add To Model From Template… to display the Model Templates dialog box.
25.
In this dialog box click on the Shear Wall template Wall dialog box.
26.
In this dialog box •
Type 8 in the Number of Spaces Along X edit box.
•
Type 4 in the Number of Spaces Along Z edit box.
•
Type 5 Space Width Along X edit box.
•
Type 2.5 Space Width Along Z edit box.
•
Uncheck the Restraints check box if it is not already unchecked.
•
Click the Advanced button.
À À 27.
button to display the Shear
Highlight the Y edit box and press the Ctrl and the V keys on the keyboard at the same time to paste the -11.4715 value from the clipboard. Click the OK button twice to exit all dialog boxes.
Click the Pointer button
on the side tool bar to enter select mode. 4
28.
Click in the Y-Z Plane @ X=20 window to make sure it is active.
29.
From the View menu select Set 2D View… to display the Set 2D View dialog box.
30.
In this dialog box: •
Select the X-Z Plane option.
•
Type -11.4715 in the Y= edit box.
•
Click the OK button.
31.
Select all of the elements in this view by “windowing”
32.
From the View menu select Set 2D View… to display the Set 2D View dialog box.
33.
In this dialog box: •
Select the X-Z Plane option.
•
Type -17.2073 in the Y= edit box.
•
Click the OK button.
34.
Select all of the elements in this view by “windowing”
35.
From the View menu select Show Selection Only.
36.
Click the Perspective Toggle button
37.
From the View menu select Show Grid to toggle the grids off.
38.
From the View menu select Show Axes to toggle the axes off.
39.
From the Draw menu select Draw Quad Shell Element.
40.
In the X-Z perspective view click on joints 163, 195, 73 and 1, in that order, to draw a shell element.
41.
Click the Pointer button on the side tool bar to exit draw mode and enter select mode.
42.
Click on the just drawn shell element to select it.
43.
From the Edit menu select Mesh Shells… to display the Mesh Selected Shells dialog box.
44.
Fill in this dialog box as shown in the figure and
on the main toolbar.
5
click the OK button. Note: It is difficult to figure out whether to mesh shells 3 by 8 or 8 by 3. It is often easiest to just go ahead and try one way, and if it isn’t right, simply click the Undo button on the main toolbar and mesh the shells the other way. 45.
Select all of the elements in the X-Z perspective view by “windowing”.
46.
From the Edit menu select Replicate… to display the Replicate dialog box.
47.
In this dialog box: •
Select the Mirror Tab.
•
In the Mirror About area select the XZ Plane option.
•
In the Ordinate area type 0 in the Y edit box if it is not already there.
•
Click the OK button.
48.
From the View menu select Set 2D View… to display the Set 2D View dialog box.
49.
In this dialog box: •
Select the X-Y Plane option.
•
Type 0 in the Z= edit box.
•
Click the OK button.
50.
Select all of the joints at this level by “windowing”.
51.
From the Assign menu select Joint and then Restraints… from the submenu to display the Joint Restraints dialog box.
52.
In this dialog box: •
Verify that the Translation 1, 2 and 3 boxes are all checked.
•
Click the OK button.
53.
From the View menu select Set 2D View… to display the Set 2D View dialog box.
54.
In this dialog box: •
Select the Y-Z Plane option.
•
Type 20 in the X= edit box.
6
•
Click the OK button.
55.
Click the Show Undeformed Shape button
to reset the window title.
56.
From the View menu select Show All.
57.
Click the drop down box in the status bar to change the units to kip-in.
58.
From the Define menu select Materials... to display the Define Materials dialog box.
59.
Click on CONC in the Materials area to highlight (select) it, and then click the Modify/Show Material button. The Material Property Data dialog box is displayed.
60.
In this dialog box: • Type 3600 in the Modulus of Elasticity edit box. • Verify .2 is entered in the Poisson’s Ratio edit box. • Click the OK button twice to exit all dialog boxes.
61.
Click the drop down box in the status bar to change the units to kip-ft.
62.
From the Define menu select Materials... to display the Define Materials dialog box.
63.
Click on CONC in the Materials area to highlight (select) it, and then click the Modify/Show Material button. The Material Property Data dialog box is displayed.
64.
In this dialog box: • Verify that 4.657E-03 is entered in the Mass Per Unit Volume edit box. • Verify that .15 is entered in the Weight Per Unit Volume edit box. • Click the OK button twice to exit all dialog boxes.
65.
From the Define menu select Shell Sections... to display the Define Shell Sections dialog box.
66.
In this dialog box: •
Click the Modify/Show Section button to display the Shell Sections dialog box.
•
In this dialog box:
À À
Verify that the Material is CONC. Verify that both the Membrane and Bending thicknesses are 1.
7
À À
Verify that the Shell option is chosen in the Type area. Click the OK button twice to exit all dialog boxes.
67.
From the Define menu select Static Load Cases... to display the Define Static Load Case Names dialog box.
68.
In this dialog box: •
Type DL in the Load edit box.
•
Click the Change Load button.
•
Type LL in the Load edit box.
•
Select Live from the Type drop-down box.
•
Type 0 in the Self Weight Multiplier edit box.
•
Click the Add New Load button.
•
Click the OK button.
69.
From the Define menu select Load Combinations... to display the Define Load Case Combinations dialog box.
70.
In this dialog box: •
Click the Add New Combo button to display the Load Combination Data dialog box..
•
In this dialog box:
À À À À À À À À
Accept the default Load Combination Name COMB1. Accept the default Load Combination Type, Add. Type COMB1: DL + LL in the Title edit box. Verify that DL Load Case appears in the Case Name drop-down box, and that the Scale Factor is 1. Click the Add button. Select LL Load Case from the Case Name drop-down box Click the Add button. Click OK twice to exit all dialog boxes.
8
71.
Click in the 3-D View window to activate it. Be careful not to accidentally select any members when you do this.
72.
From the View menu select Set Limits… to display the Set Limits dialog box.
73.
In this dialog box: •
Type 25 in the Min edit box in the Set Z Axis limits area.
•
Click the OK button.
74.
Select all of the displayed elements in the 3D View window (i.e., all elements in the roof barrel) by “windowing”.
75.
From the Assign menu choose Shell Static Loads… and then choose Uniform… from the submenu to display the Shell Uniform Loads dialog box.
76.
In this dialog box: •
Select LL from the Load Case Name drop-down box.
•
Type -.3 in the Load edit box.
•
Verify that Global Z is selected in the Dir drop-down box.
•
Click the OK button.
77.
Click the Show Undeformed Shape button loads and to remove the limits that were set.
78.
Click the Run Analysis button
79.
When the analysis is complete check the messages in the Analysis window (there should be no warnings or errors) and then click the OK button to close the Analysis window.
80.
Click in the window titled Y-Z Plane @ X=20 to activate it.
81.
Click the Display Static Deformed Shape button Deformed Shape dialog box.
82.
In this dialog box:
83.
to remove the display of shell uniform
to run the analysis.
on the main toolbar to display the
•
Select the DL Load Case from the Load drop-down box.
•
Select the Auto Scaling option.
•
Click the OK button.
Click the drop down box in the status bar to change the units to kip-in. 9
84.
Right click on the center joint of the upper barrel vault to see its self weight displacement in inches.
85.
Right click on the center joint of the lower barrel vault to see its self weight displacement in inches.
86.
Click the Display Static Deformed Shape button Deformed Shape dialog box.
87.
In this dialog box:
on the main toolbar to display the
•
Select the COMB1 Combo from the Load drop-down box.
•
Click the OK button.
88.
Right click on the center joint of the upper barrel vault to see its self weight plus live load displacement in inches.
89.
Right click on the center joint of the lower barrel vault to see its self weight plus live load displacement in inches.
Alternative Problem U Solution
Now an alternative method of creating the model is shown. This alternative method does not use the Advanced button feature of the Add To Model From Template feature. Instead it makes use of groups and the move command to accomplish essentially the same thing. It is a good example of one of the uses of groups. This alternative method takes more steps than the initial method shown. The initial method is recommended; this method is just shown for example purposes. A1. Click the drop down box in the status bar to change the units to kip-ft. A2. From the File menu select New Model From Template…. This displays the Model Templates dialog box. A3. In this dialog box click on the Barrel Template dialog box.
button to display the Barrel
A4. In this dialog box •
Accept the default Number of Circumferential Spaces, 8.
•
Accept the default Number of Span Spaces, 8.
10
•
Type 40 in the Span edit box.
•
Type 20 in the Radius edit box.
•
Type 35 in the Roll Down Angle edit box.
•
Uncheck the Restraints check box.
•
Click the OK button.
A5. Click in the 3-D View window to make sure it is active. The window is highlighted when it is active. A6. Click the Select All button
located on the side toolbar to select the entire structure.
A7. From the Assign menu select Group Name... to display the Assign Group dialog box. A8. In this dialog box: •
Type LOBARREL in the Groups edit box.
•
Click the Add New Group Name button.
•
Click the OK button.
A9. Click the Restore Previous Selection button Previous Selection from the Select menu).
on the side toolbar (or select Get
A10. From the Edit menu select Move… to display the Move Selected Points dialog box. A11. In this dialog box: •
Type 10 in the Delta Z edit box.
•
Click the OK button.
A12. From the Edit menu select Add To Model From Template… to display the Model Templates dialog box. A13. In this dialog box click on the Barrel template dialog box.
button to display the Barrel
A14. In this dialog box •
Accept the default Number of Circumferential Spaces, 8.
•
Accept the default Number of Span Spaces, 8.
•
Type 40 in the Span edit box. 11
•
Type 30 in the Radius edit box.
•
Type 35 in the Roll Down Angle edit box.
•
Uncheck the Restraints check box if it is not already unchecked.
•
Click the OK button.
A15. Click the Pointer button A16. Click the Select All button
on the side tool bar to enter select mode. located on the side toolbar to select the entire structure.
A17. From the Select menu choose Deselect and then choose Groups… from the submenu to display the Select Groups dialog box. A18. In this dialog box: •
Click on the LOBARREL group to highlight it.
•
Click the OK button.
A19. From the Assign menu select Group Name... to display the Assign Group dialog box. A20. In this dialog box: •
Type HIBARREL in the Groups edit box.
•
Click the Add New Group Name button.
•
Click the OK button.
A21. Click the Restore Previous Selection button Previous Selection from the Select menu).
on the side toolbar (or select Get
A22. From the Edit menu select Move… to display the Move Selected Points dialog box. A23. In this dialog box: •
Type 25 in the Delta Z edit box.
•
Click the OK button.
A24. From the Edit menu select Add To Model From Template… to display the Model Templates dialog box. A25. In this dialog box click on the Shear Wall template Wall dialog box.
button to display the Shear
A26. In this dialog box 12
•
Type 8 in the Number of Spaces Along X edit box.
•
Type 4 in the Number of Spaces Along Z edit box.
•
Type 5 Space Width Along X edit box.
•
Type 2.5 Space Width Along Z edit box.
•
Uncheck the Restraints check box if it is not already unchecked.
•
Click the OK button.
A27. Click the Pointer button A28. Click the Select All button
on the side tool bar to enter select mode. located on the side toolbar to select the entire structure.
A29. From the Select menu choose Deselect and then choose Groups… from the submenu to display the Select Groups dialog box. A30. In this dialog box: •
Click on the HIBARREL group to highlight it.
•
Hold down on the Ctrl key on the keyboard and click on the LOBARREL group to add it to the selection
•
Click the OK button.
A31. From the Assign menu select Group Name... to display the Assign Group dialog box. A32. In this dialog box: •
Type WALL1 in the Groups edit box.
•
Click the Add New Group Name button.
•
Click the OK button.
A33. Click in the Window titled Y-Z Plane @ X=20 to activate it. A34. Click the Set Elements button on the main toolbar (or select Set Elements… from the View menu) to display the Set Elements Dialog box. A35. In this dialog box: •
Check the Labels box in the Joints area.
•
Click the OK button.
13
A36. Right click on joint 154. The Joint Information dialog box is displayed. A37. In this dialog box: •
Note that the Y-coordinate of this joint is -17.2073.
•
Click the OK button to close the dialog box.
A38. From the Select menu choose Select and then choose Groups… from the submenu to display the Select Groups dialog box. A39. In this dialog box: •
Click on the WALL1 group to highlight it.
•
Click the OK button.
A40. From the Edit menu select Move… to display the Move Selected Points dialog box. A41. In this dialog box: •
Type -17.2073 in the Delta Y edit box.
•
Type 15 in the Delta Z edit box.
•
Click the OK button.
A42. Right click on joint 73. The Joint Information dialog box is displayed. A43. In this dialog box: •
Note that the Y-coordinate of this joint is -11.4715.
•
Note that the Y-direction distance between joints 154 and 73 can be calculated as 17.2073 - 11.4715 = 5.7358.
•
Click the OK button to close the dialog box.
A44. From the Select menu choose Select and then choose Groups… from the submenu to display the Select Groups dialog box. A45. In this dialog box: •
Click on the WALL1 group to highlight it.
•
Click the OK button.
A46. From the Edit menu select Replicate… to display the Replicate dialog box.
14
A47. In this dialog box: •
Select the Linear Tab.
•
Type 5.7358 in the Y Distance edit box.
•
Type -15 in the Z Distance edit box.
•
Type 1 in the Number edit box.
•
Click the OK button.
A48. Click the Select All button
located on the side toolbar to select the entire structure.
A49. From the Select menu choose Deselect and then choose Groups… from the submenu to display the Select Groups dialog box. A50. In this dialog box: •
Click on the HIBARREL group to highlight it.
•
Hold down on the Ctrl key on the keyboard and click on the LOBARREL group to add it to the selection
•
Click the OK button.
A51. From the View menu select Show Selection Only. A52. From the View menu select Set 2D View… to display the Set 2D View dialog box. A53. In this dialog box: •
Select the X-Z Plane option.
•
Type -17.2073 in the Y= edit box.
•
Click the OK button.
A54. Click the Perspective Toggle button
on the main toolbar.
A55. From the View menu select Show Grid to toggle the grids off. A56. From the Draw menu select Draw Quad Shell Element. A57. In the X-Z perspective view click on joints 163, 203, 73 and 1, in that order, to draw a shell element.
15
A58. Click the Pointer button on the side tool bar to exit draw mode and enter select mode. A59. Click on the just drawn shell element to select it. A60. From the Edit menu select Mesh Shells… to display the Mesh Selected Shells dialog box. A61. Fill in this dialog box as shown in the figure and click the OK button. Note: It is difficult to figure out whether to mesh shells 3 by 8 or 8 by 3. It is often easiest to just go ahead and try one way, and if it isn’t right, simply click the Undo button on the main toolbar and mesh the shells the other way. A62. Select all of the elements in the X-Z perspective view by “windowing”. A63. From the Edit menu select Replicate… to display the Replicate dialog box. A64. In this dialog box: •
Select the Mirror Tab.
•
In the Mirror About area select the XZ Plane option.
•
In the Ordinate area type 0 in the Y edit box if it is not already there.
•
Click the OK button.
A65. From the View menu select Set 2D View… to display the Set 2D View dialog box. A66. In this dialog box: •
Select the X-Y Plane option.
•
Type 0 in the Z= edit box.
•
Click the OK button.
A67. Select all of the joints at this level by “windowing”. A68. From the Assign menu select Joint and then Restraints… from the submenu to display the Joint Restraints dialog box. A69. In this dialog box: •
Verify that the Translation 1, 2 and 3 boxes are all checked.
16
•
Click the OK button.
A70. From the View menu select Set 2D View… to display the Set 2D View dialog box. A71. In this dialog box: •
Select the Y-Z Plane option.
•
Type 20 in the X= edit box.
•
Click the OK button.
A72. Click the Show Undeformed Shape button
to reset the window title.
A73. From the View menu select Show All. A74. Click the drop down box in the status bar to change the units to kip-in. A75. From the Define menu select Materials... to display the Define Materials dialog box. A76. Click on CONC in the Materials area to highlight (select) it, and then click the Modify/Show Material button. The Material Property Data dialog box is displayed. A77. In this dialog box: •
Type 3600 in the Modulus of Elasticity edit box.
•
Verify .2 is entered in the Poisson’s Ratio edit box.
•
Click the OK button twice to exit all dialog boxes.
A78. Click the drop down box in the status bar to change the units to kip-ft. A79. From the Define menu select Materials... to display the Define Materials dialog box. A80. Click on CONC in the Materials area to highlight (select) it, and then click the Modify/Show Material button. The Material Property Data dialog box is displayed. A81. In this dialog box: •
Verify that 4.657E-03 is entered in the Mass Per Unit Volume edit box.
•
Verify that .15 is entered in the Weight Per Unit Volume edit box.
•
Click the OK button twice to exit all dialog boxes.
A82. From the Define menu select Shell Sections... to display the Define Shell Sections dialog box.
17
A83. In this dialog box: •
Click the Modify/Show Section button to display the Shell Sections dialog box.
•
In this dialog box:
À À À À
Verify that the Material is CONC. Verify that both the Membrane and Bending thicknesses are 1. Verify that the Shell option is chosen in the Type area. Click the OK button twice to exit all dialog boxes.
A84. From the Define menu select Static Load Cases... to display the Define Static Load Case Names dialog box. A85. In this dialog box: •
Type DL in the Load edit box.
•
Click the Change Load button.
•
Type LL in the Load edit box.
•
Select Live from the Type drop-down box.
•
Type 0 in the Self Weight Multiplier edit box.
•
Click the Add New Load button.
•
Click the OK button.
A86. From the Define menu select Load Combinations... to display the Define Load Case Combinations dialog box. A87. In this dialog box: •
Click the Add New Combo button to display the Load Combination Data dialog box..
•
In this dialog box:
À À À
Accept the default Load Combination Name COMB1. Accept the default Load Combination Type, Add. Type COMB1: DL + LL in the Title edit box.
18
À À À À À
Verify that DL Load Case appears in the Case Name drop-down box, and that the Scale Factor is 1. Click the Add button. Select LL Load Case from the Case Name drop-down box Click the Add button. Click OK twice to exit all dialog boxes.
A88. Click in the 3-D View window to activate it. Be careful not to accidentally select any members when you do this. A89. From the Select menu choose Select and then choose Groups… from the submenu to display the Select Groups dialog box. A90. In this dialog box: •
Click on the HIBARREL group to highlight it.
•
Click the OK button.
A91. From the Assign menu choose Shell Static Loads… and then choose Uniform… from the submenu to display the Shell Uniform Loads dialog box. A92. In this dialog box: •
Select LL from the Load Case Name drop-down box.
•
Type -.3 in the Load edit box.
•
Verify that Global Z is selected in the Dir drop-down box.
•
Click the OK button.
A93. Click the Show Undeformed Shape button loads. A94. Click the Run Analysis button
to remove the display of shell uniform
to run the analysis.
A95. When the analysis is complete check the messages in the Analysis window (there should be no warnings or errors) and then click the OK button to close the Analysis window. A96. Click in the window titled Y-Z Plane @ X=20 to activate it. A97. Click the Display Static Deformed Shape button Deformed Shape dialog box.
on the main toolbar to display the
19
A98. In this dialog box: •
Select the DL Load Case from the Load drop-down box.
•
Select the Auto Scaling option.
•
Click the OK button.
A99. Click the drop down box in the status bar to change the units to kip-in. A100. Right click on the center joint of the upper barrel vault to see its self weight displacement in inches. A101. Right click on the center joint of the lower barrel vault to see its self weight displacement in inches. A102. Click the Display Static Deformed Shape button Deformed Shape dialog box.
on the main toolbar to display the
A103. In this dialog box: •
Select the COMB1 Combo from the Load drop-down box.
•
Click the OK button.
A104. Right click on the center joint of the upper barrel vault to see its self weight plus live load displacement in inches. A105. Right click on the center joint of the lower barrel vault to see its self weight plus live load displacement in inches.
20
To Do Determine the maximum deflection at the center of upper and lower barrel vaults due to the self weight of the structure. Also determine the maximum deflection at center of upper and lower barrel vaults due to the self weight plus the prescribed live load applied to the top barrel vault.
40 ’
Concrete E =3600 ksi Poissons Ratio = 0.2 12" thick concrete walls and slabs
Live Load = 300 psf downward
10’
5’
10’
Barrel vault with 30' radius and 35° roll down angle
Barrel vault with 20' radius and 35° roll down angle
Note: Our intent is that you try this problem on your own first. After you have solved it on your own, you can step through our solution if desired. If you have problems trying to create the model, then follow the steps in our solution.
1
Problem U Solution
1.
Click the drop down box in the status bar to change the units to kip-ft.
2.
From the File menu select New Model From Template…. This displays the Model Templates dialog box.
3.
In this dialog box click on the Barrel template dialog box.
4.
In this dialog box:
button to display the Barrel
•
Accept the default Number of Circumferential Spaces, 8.
•
Accept the default Number of Span Spaces, 8.
•
Type 40 in the Span edit box.
•
Type 20 in the Radius edit box.
•
Type 35 in the Roll Down Angle edit box.
•
Uncheck the Restraints check box.
•
Click the OK button.
5.
Click in the 3-D View window to make sure it is active. The window is highlighted when it is active.
6.
Click the Select All button
7.
From the Edit menu select Move… to display the Move Selected Points dialog box.
8.
In this dialog box:
located on the side toolbar to select the entire structure.
•
Type 10 in the Delta Z edit box.
•
Click the OK button.
9.
From the Edit menu select Add To Model From Template… to display the Model Templates dialog box.
10.
In this dialog box click on the Barrel template dialog box.
11.
In this dialog box:
button to display the Barrel
2
•
Accept the default Number of Circumferential Spaces, 8.
•
Accept the default Number of Span Spaces, 8.
•
Type 40 in the Span edit box.
•
Type 30 in the Radius edit box.
•
Type 35 in the Roll Down Angle edit box.
•
Uncheck the Restraints check box if it is not already unchecked.
•
Click the Advanced button.
À À
Type 25 in the Z edit box in the Translations area. Click the OK button twice to exit all dialog boxes.
12.
Click in the Y-Z Plane @ X=20 window to make sure it is active.
13.
Click the Set Elements button on the main toolbar (or select Set Elements… from the View menu) to display the Set Elements Dialog box.
14.
In this dialog box: •
Check the Labels box in the Joints area.
•
Click the OK button.
15.
Right click on joint 154 in window with the Y-Z Plane @ X=20. The Joint Information dialog box is displayed.
16.
Highlight the Y-coordinate (-17.2073) and press the Ctrl and the C keys on the keyboard at the same time to copy the value to the clipboard.
17.
Click the Cancel button to close the Joint Information dialog box.
18.
From the Edit menu select Add To Model From Template… to display the Model Templates dialog box.
19.
In this dialog box click on the Shear Wall template Wall dialog box.
20.
In this dialog box •
Type 8 in the Number of Spaces Along X edit box.
•
Type 4 in the Number of Spaces Along Z edit box.
button to display the Shear
3
•
Type 5 Space Width Along X edit box.
•
Type 2.5 Space Width Along Z edit box.
•
Uncheck the Restraints check box if it is not already unchecked.
•
Click the Advanced button.
À À À
Highlight the Y edit box and press the Ctrl and the V keys on the keyboard at the same time to paste the -17.2073 value from the clipboard. Type 15 in the Z edit box in the Translations area. Click the OK button twice to exit all dialog boxes.
21.
Right click on joint 73 in window with the Y-Z Plane @ X=20. The Joint Information dialog box is displayed.
22.
Highlight the Y-coordinate (-11.4715) and press the Ctrl and the C keys on the keyboard at the same time to copy the value to the clipboard.
23.
Click the Cancel button to close the Joint Information dialog box.
24.
From the Edit menu select Add To Model From Template… to display the Model Templates dialog box.
25.
In this dialog box click on the Shear Wall template Wall dialog box.
26.
In this dialog box •
Type 8 in the Number of Spaces Along X edit box.
•
Type 4 in the Number of Spaces Along Z edit box.
•
Type 5 Space Width Along X edit box.
•
Type 2.5 Space Width Along Z edit box.
•
Uncheck the Restraints check box if it is not already unchecked.
•
Click the Advanced button.
À À 27.
button to display the Shear
Highlight the Y edit box and press the Ctrl and the V keys on the keyboard at the same time to paste the -11.4715 value from the clipboard. Click the OK button twice to exit all dialog boxes.
Click the Pointer button
on the side tool bar to enter select mode. 4
28.
Click in the Y-Z Plane @ X=20 window to make sure it is active.
29.
From the View menu select Set 2D View… to display the Set 2D View dialog box.
30.
In this dialog box: •
Select the X-Z Plane option.
•
Type -11.4715 in the Y= edit box.
•
Click the OK button.
31.
Select all of the elements in this view by “windowing”
32.
From the View menu select Set 2D View… to display the Set 2D View dialog box.
33.
In this dialog box: •
Select the X-Z Plane option.
•
Type -17.2073 in the Y= edit box.
•
Click the OK button.
34.
Select all of the elements in this view by “windowing”
35.
From the View menu select Show Selection Only.
36.
Click the Perspective Toggle button
37.
From the View menu select Show Grid to toggle the grids off.
38.
From the View menu select Show Axes to toggle the axes off.
39.
From the Draw menu select Draw Quad Shell Element.
40.
In the X-Z perspective view click on joints 163, 195, 73 and 1, in that order, to draw a shell element.
41.
Click the Pointer button on the side tool bar to exit draw mode and enter select mode.
42.
Click on the just drawn shell element to select it.
43.
From the Edit menu select Mesh Shells… to display the Mesh Selected Shells dialog box.
44.
Fill in this dialog box as shown in the figure and
on the main toolbar.
5
click the OK button. Note: It is difficult to figure out whether to mesh shells 3 by 8 or 8 by 3. It is often easiest to just go ahead and try one way, and if it isn’t right, simply click the Undo button on the main toolbar and mesh the shells the other way. 45.
Select all of the elements in the X-Z perspective view by “windowing”.
46.
From the Edit menu select Replicate… to display the Replicate dialog box.
47.
In this dialog box: •
Select the Mirror Tab.
•
In the Mirror About area select the XZ Plane option.
•
In the Ordinate area type 0 in the Y edit box if it is not already there.
•
Click the OK button.
48.
From the View menu select Set 2D View… to display the Set 2D View dialog box.
49.
In this dialog box: •
Select the X-Y Plane option.
•
Type 0 in the Z= edit box.
•
Click the OK button.
50.
Select all of the joints at this level by “windowing”.
51.
From the Assign menu select Joint and then Restraints… from the submenu to display the Joint Restraints dialog box.
52.
In this dialog box: •
Verify that the Translation 1, 2 and 3 boxes are all checked.
•
Click the OK button.
53.
From the View menu select Set 2D View… to display the Set 2D View dialog box.
54.
In this dialog box: •
Select the Y-Z Plane option.
•
Type 20 in the X= edit box.
6
•
Click the OK button.
55.
Click the Show Undeformed Shape button
to reset the window title.
56.
From the View menu select Show All.
57.
Click the drop down box in the status bar to change the units to kip-in.
58.
From the Define menu select Materials... to display the Define Materials dialog box.
59.
Click on CONC in the Materials area to highlight (select) it, and then click the Modify/Show Material button. The Material Property Data dialog box is displayed.
60.
In this dialog box: • Type 3600 in the Modulus of Elasticity edit box. • Verify .2 is entered in the Poisson’s Ratio edit box. • Click the OK button twice to exit all dialog boxes.
61.
Click the drop down box in the status bar to change the units to kip-ft.
62.
From the Define menu select Materials... to display the Define Materials dialog box.
63.
Click on CONC in the Materials area to highlight (select) it, and then click the Modify/Show Material button. The Material Property Data dialog box is displayed.
64.
In this dialog box: • Verify that 4.657E-03 is entered in the Mass Per Unit Volume edit box. • Verify that .15 is entered in the Weight Per Unit Volume edit box. • Click the OK button twice to exit all dialog boxes.
65.
From the Define menu select Shell Sections... to display the Define Shell Sections dialog box.
66.
In this dialog box: •
Click the Modify/Show Section button to display the Shell Sections dialog box.
•
In this dialog box:
À À
Verify that the Material is CONC. Verify that both the Membrane and Bending thicknesses are 1.
7
À À
Verify that the Shell option is chosen in the Type area. Click the OK button twice to exit all dialog boxes.
67.
From the Define menu select Static Load Cases... to display the Define Static Load Case Names dialog box.
68.
In this dialog box: •
Type DL in the Load edit box.
•
Click the Change Load button.
•
Type LL in the Load edit box.
•
Select Live from the Type drop-down box.
•
Type 0 in the Self Weight Multiplier edit box.
•
Click the Add New Load button.
•
Click the OK button.
69.
From the Define menu select Load Combinations... to display the Define Load Case Combinations dialog box.
70.
In this dialog box: •
Click the Add New Combo button to display the Load Combination Data dialog box..
•
In this dialog box:
À À À À À À À À
Accept the default Load Combination Name COMB1. Accept the default Load Combination Type, Add. Type COMB1: DL + LL in the Title edit box. Verify that DL Load Case appears in the Case Name drop-down box, and that the Scale Factor is 1. Click the Add button. Select LL Load Case from the Case Name drop-down box Click the Add button. Click OK twice to exit all dialog boxes.
8
71.
Click in the 3-D View window to activate it. Be careful not to accidentally select any members when you do this.
72.
From the View menu select Set Limits… to display the Set Limits dialog box.
73.
In this dialog box: •
Type 25 in the Min edit box in the Set Z Axis limits area.
•
Click the OK button.
74.
Select all of the displayed elements in the 3D View window (i.e., all elements in the roof barrel) by “windowing”.
75.
From the Assign menu choose Shell Static Loads… and then choose Uniform… from the submenu to display the Shell Uniform Loads dialog box.
76.
In this dialog box: •
Select LL from the Load Case Name drop-down box.
•
Type -.3 in the Load edit box.
•
Verify that Global Z is selected in the Dir drop-down box.
•
Click the OK button.
77.
Click the Show Undeformed Shape button loads and to remove the limits that were set.
78.
Click the Run Analysis button
79.
When the analysis is complete check the messages in the Analysis window (there should be no warnings or errors) and then click the OK button to close the Analysis window.
80.
Click in the window titled Y-Z Plane @ X=20 to activate it.
81.
Click the Display Static Deformed Shape button Deformed Shape dialog box.
82.
In this dialog box:
83.
to remove the display of shell uniform
to run the analysis.
on the main toolbar to display the
•
Select the DL Load Case from the Load drop-down box.
•
Select the Auto Scaling option.
•
Click the OK button.
Click the drop down box in the status bar to change the units to kip-in. 9
84.
Right click on the center joint of the upper barrel vault to see its self weight displacement in inches.
85.
Right click on the center joint of the lower barrel vault to see its self weight displacement in inches.
86.
Click the Display Static Deformed Shape button Deformed Shape dialog box.
87.
In this dialog box:
on the main toolbar to display the
•
Select the COMB1 Combo from the Load drop-down box.
•
Click the OK button.
88.
Right click on the center joint of the upper barrel vault to see its self weight plus live load displacement in inches.
89.
Right click on the center joint of the lower barrel vault to see its self weight plus live load displacement in inches.
Alternative Problem U Solution
Now an alternative method of creating the model is shown. This alternative method does not use the Advanced button feature of the Add To Model From Template feature. Instead it makes use of groups and the move command to accomplish essentially the same thing. It is a good example of one of the uses of groups. This alternative method takes more steps than the initial method shown. The initial method is recommended; this method is just shown for example purposes. A1. Click the drop down box in the status bar to change the units to kip-ft. A2. From the File menu select New Model From Template…. This displays the Model Templates dialog box. A3. In this dialog box click on the Barrel Template dialog box.
button to display the Barrel
A4. In this dialog box •
Accept the default Number of Circumferential Spaces, 8.
•
Accept the default Number of Span Spaces, 8.
10
•
Type 40 in the Span edit box.
•
Type 20 in the Radius edit box.
•
Type 35 in the Roll Down Angle edit box.
•
Uncheck the Restraints check box.
•
Click the OK button.
A5. Click in the 3-D View window to make sure it is active. The window is highlighted when it is active. A6. Click the Select All button
located on the side toolbar to select the entire structure.
A7. From the Assign menu select Group Name... to display the Assign Group dialog box. A8. In this dialog box: •
Type LOBARREL in the Groups edit box.
•
Click the Add New Group Name button.
•
Click the OK button.
A9. Click the Restore Previous Selection button Previous Selection from the Select menu).
on the side toolbar (or select Get
A10. From the Edit menu select Move… to display the Move Selected Points dialog box. A11. In this dialog box: •
Type 10 in the Delta Z edit box.
•
Click the OK button.
A12. From the Edit menu select Add To Model From Template… to display the Model Templates dialog box. A13. In this dialog box click on the Barrel template dialog box.
button to display the Barrel
A14. In this dialog box •
Accept the default Number of Circumferential Spaces, 8.
•
Accept the default Number of Span Spaces, 8.
•
Type 40 in the Span edit box. 11
•
Type 30 in the Radius edit box.
•
Type 35 in the Roll Down Angle edit box.
•
Uncheck the Restraints check box if it is not already unchecked.
•
Click the OK button.
A15. Click the Pointer button A16. Click the Select All button
on the side tool bar to enter select mode. located on the side toolbar to select the entire structure.
A17. From the Select menu choose Deselect and then choose Groups… from the submenu to display the Select Groups dialog box. A18. In this dialog box: •
Click on the LOBARREL group to highlight it.
•
Click the OK button.
A19. From the Assign menu select Group Name... to display the Assign Group dialog box. A20. In this dialog box: •
Type HIBARREL in the Groups edit box.
•
Click the Add New Group Name button.
•
Click the OK button.
A21. Click the Restore Previous Selection button Previous Selection from the Select menu).
on the side toolbar (or select Get
A22. From the Edit menu select Move… to display the Move Selected Points dialog box. A23. In this dialog box: •
Type 25 in the Delta Z edit box.
•
Click the OK button.
A24. From the Edit menu select Add To Model From Template… to display the Model Templates dialog box. A25. In this dialog box click on the Shear Wall template Wall dialog box.
button to display the Shear
A26. In this dialog box 12
•
Type 8 in the Number of Spaces Along X edit box.
•
Type 4 in the Number of Spaces Along Z edit box.
•
Type 5 Space Width Along X edit box.
•
Type 2.5 Space Width Along Z edit box.
•
Uncheck the Restraints check box if it is not already unchecked.
•
Click the OK button.
A27. Click the Pointer button A28. Click the Select All button
on the side tool bar to enter select mode. located on the side toolbar to select the entire structure.
A29. From the Select menu choose Deselect and then choose Groups… from the submenu to display the Select Groups dialog box. A30. In this dialog box: •
Click on the HIBARREL group to highlight it.
•
Hold down on the Ctrl key on the keyboard and click on the LOBARREL group to add it to the selection
•
Click the OK button.
A31. From the Assign menu select Group Name... to display the Assign Group dialog box. A32. In this dialog box: •
Type WALL1 in the Groups edit box.
•
Click the Add New Group Name button.
•
Click the OK button.
A33. Click in the Window titled Y-Z Plane @ X=20 to activate it. A34. Click the Set Elements button on the main toolbar (or select Set Elements… from the View menu) to display the Set Elements Dialog box. A35. In this dialog box: •
Check the Labels box in the Joints area.
•
Click the OK button.
13
A36. Right click on joint 154. The Joint Information dialog box is displayed. A37. In this dialog box: •
Note that the Y-coordinate of this joint is -17.2073.
•
Click the OK button to close the dialog box.
A38. From the Select menu choose Select and then choose Groups… from the submenu to display the Select Groups dialog box. A39. In this dialog box: •
Click on the WALL1 group to highlight it.
•
Click the OK button.
A40. From the Edit menu select Move… to display the Move Selected Points dialog box. A41. In this dialog box: •
Type -17.2073 in the Delta Y edit box.
•
Type 15 in the Delta Z edit box.
•
Click the OK button.
A42. Right click on joint 73. The Joint Information dialog box is displayed. A43. In this dialog box: •
Note that the Y-coordinate of this joint is -11.4715.
•
Note that the Y-direction distance between joints 154 and 73 can be calculated as 17.2073 - 11.4715 = 5.7358.
•
Click the OK button to close the dialog box.
A44. From the Select menu choose Select and then choose Groups… from the submenu to display the Select Groups dialog box. A45. In this dialog box: •
Click on the WALL1 group to highlight it.
•
Click the OK button.
A46. From the Edit menu select Replicate… to display the Replicate dialog box.
14
A47. In this dialog box: •
Select the Linear Tab.
•
Type 5.7358 in the Y Distance edit box.
•
Type -15 in the Z Distance edit box.
•
Type 1 in the Number edit box.
•
Click the OK button.
A48. Click the Select All button
located on the side toolbar to select the entire structure.
A49. From the Select menu choose Deselect and then choose Groups… from the submenu to display the Select Groups dialog box. A50. In this dialog box: •
Click on the HIBARREL group to highlight it.
•
Hold down on the Ctrl key on the keyboard and click on the LOBARREL group to add it to the selection
•
Click the OK button.
A51. From the View menu select Show Selection Only. A52. From the View menu select Set 2D View… to display the Set 2D View dialog box. A53. In this dialog box: •
Select the X-Z Plane option.
•
Type -17.2073 in the Y= edit box.
•
Click the OK button.
A54. Click the Perspective Toggle button
on the main toolbar.
A55. From the View menu select Show Grid to toggle the grids off. A56. From the Draw menu select Draw Quad Shell Element. A57. In the X-Z perspective view click on joints 163, 203, 73 and 1, in that order, to draw a shell element.
15
A58. Click the Pointer button on the side tool bar to exit draw mode and enter select mode. A59. Click on the just drawn shell element to select it. A60. From the Edit menu select Mesh Shells… to display the Mesh Selected Shells dialog box. A61. Fill in this dialog box as shown in the figure and click the OK button. Note: It is difficult to figure out whether to mesh shells 3 by 8 or 8 by 3. It is often easiest to just go ahead and try one way, and if it isn’t right, simply click the Undo button on the main toolbar and mesh the shells the other way. A62. Select all of the elements in the X-Z perspective view by “windowing”. A63. From the Edit menu select Replicate… to display the Replicate dialog box. A64. In this dialog box: •
Select the Mirror Tab.
•
In the Mirror About area select the XZ Plane option.
•
In the Ordinate area type 0 in the Y edit box if it is not already there.
•
Click the OK button.
A65. From the View menu select Set 2D View… to display the Set 2D View dialog box. A66. In this dialog box: •
Select the X-Y Plane option.
•
Type 0 in the Z= edit box.
•
Click the OK button.
A67. Select all of the joints at this level by “windowing”. A68. From the Assign menu select Joint and then Restraints… from the submenu to display the Joint Restraints dialog box. A69. In this dialog box: •
Verify that the Translation 1, 2 and 3 boxes are all checked.
16
•
Click the OK button.
A70. From the View menu select Set 2D View… to display the Set 2D View dialog box. A71. In this dialog box: •
Select the Y-Z Plane option.
•
Type 20 in the X= edit box.
•
Click the OK button.
A72. Click the Show Undeformed Shape button
to reset the window title.
A73. From the View menu select Show All. A74. Click the drop down box in the status bar to change the units to kip-in. A75. From the Define menu select Materials... to display the Define Materials dialog box. A76. Click on CONC in the Materials area to highlight (select) it, and then click the Modify/Show Material button. The Material Property Data dialog box is displayed. A77. In this dialog box: •
Type 3600 in the Modulus of Elasticity edit box.
•
Verify .2 is entered in the Poisson’s Ratio edit box.
•
Click the OK button twice to exit all dialog boxes.
A78. Click the drop down box in the status bar to change the units to kip-ft. A79. From the Define menu select Materials... to display the Define Materials dialog box. A80. Click on CONC in the Materials area to highlight (select) it, and then click the Modify/Show Material button. The Material Property Data dialog box is displayed. A81. In this dialog box: •
Verify that 4.657E-03 is entered in the Mass Per Unit Volume edit box.
•
Verify that .15 is entered in the Weight Per Unit Volume edit box.
•
Click the OK button twice to exit all dialog boxes.
A82. From the Define menu select Shell Sections... to display the Define Shell Sections dialog box.
17
A83. In this dialog box: •
Click the Modify/Show Section button to display the Shell Sections dialog box.
•
In this dialog box:
À À À À
Verify that the Material is CONC. Verify that both the Membrane and Bending thicknesses are 1. Verify that the Shell option is chosen in the Type area. Click the OK button twice to exit all dialog boxes.
A84. From the Define menu select Static Load Cases... to display the Define Static Load Case Names dialog box. A85. In this dialog box: •
Type DL in the Load edit box.
•
Click the Change Load button.
•
Type LL in the Load edit box.
•
Select Live from the Type drop-down box.
•
Type 0 in the Self Weight Multiplier edit box.
•
Click the Add New Load button.
•
Click the OK button.
A86. From the Define menu select Load Combinations... to display the Define Load Case Combinations dialog box. A87. In this dialog box: •
Click the Add New Combo button to display the Load Combination Data dialog box..
•
In this dialog box:
À À À
Accept the default Load Combination Name COMB1. Accept the default Load Combination Type, Add. Type COMB1: DL + LL in the Title edit box.
18
À À À À À
Verify that DL Load Case appears in the Case Name drop-down box, and that the Scale Factor is 1. Click the Add button. Select LL Load Case from the Case Name drop-down box Click the Add button. Click OK twice to exit all dialog boxes.
A88. Click in the 3-D View window to activate it. Be careful not to accidentally select any members when you do this. A89. From the Select menu choose Select and then choose Groups… from the submenu to display the Select Groups dialog box. A90. In this dialog box: •
Click on the HIBARREL group to highlight it.
•
Click the OK button.
A91. From the Assign menu choose Shell Static Loads… and then choose Uniform… from the submenu to display the Shell Uniform Loads dialog box. A92. In this dialog box: •
Select LL from the Load Case Name drop-down box.
•
Type -.3 in the Load edit box.
•
Verify that Global Z is selected in the Dir drop-down box.
•
Click the OK button.
A93. Click the Show Undeformed Shape button loads. A94. Click the Run Analysis button
to remove the display of shell uniform
to run the analysis.
A95. When the analysis is complete check the messages in the Analysis window (there should be no warnings or errors) and then click the OK button to close the Analysis window. A96. Click in the window titled Y-Z Plane @ X=20 to activate it. A97. Click the Display Static Deformed Shape button Deformed Shape dialog box.
on the main toolbar to display the
19
A98. In this dialog box: •
Select the DL Load Case from the Load drop-down box.
•
Select the Auto Scaling option.
•
Click the OK button.
A99. Click the drop down box in the status bar to change the units to kip-in. A100. Right click on the center joint of the upper barrel vault to see its self weight displacement in inches. A101. Right click on the center joint of the lower barrel vault to see its self weight displacement in inches. A102. Click the Display Static Deformed Shape button Deformed Shape dialog box.
on the main toolbar to display the
A103. In this dialog box: •
Select the COMB1 Combo from the Load drop-down box.
•
Click the OK button.
A104. Right click on the center joint of the upper barrel vault to see its self weight plus live load displacement in inches. A105. Right click on the center joint of the lower barrel vault to see its self weight plus live load displacement in inches.
20
Related Documents
Barrel Vaulted Structure
October 2019 17
Barrel
December 2019 11
Hammontrees Rj Barrel & Co
June 2020 4
Structure
April 2020 17
Structure
April 2020 20
Structure
October 2019 31More Documents from ""
Informe Pais Colombia
October 2019 22
Barrel Vaulted Structure
October 2019 17
Placa Plana Con Cargas Concentradas
October 2019 27
